Let K be a field and let A=K[X_1, \ldots, X_n] be the polynomial ring in X_1, \ldots, X_n with coefficients in the field K. We study the universal squarefree lexsegment ideals. We put our attention on their combinatorics computing some invariants. Moreover we study the link between such special class of squarefree lexsegment ideals and the so called s-sequences.

### Algebraic properties of universal squarefree lexsegment ideals

#### Abstract

Let K be a field and let A=K[X_1, \ldots, X_n] be the polynomial ring in X_1, \ldots, X_n with coefficients in the field K. We study the universal squarefree lexsegment ideals. We put our attention on their combinatorics computing some invariants. Moreover we study the link between such special class of squarefree lexsegment ideals and the so called s-sequences.
##### Scheda breve Scheda completa Scheda completa (DC)
2016
Monomial ideals; squarefree lexicographic ideals; minimal resolutions; s-sequences; standard invariants
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/20.500.11769/241559`
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